New Mathematical Model to Describe Hemoglobin Oxygenation

Abstract: A model of oxygenation was proposed on the basis of the Hill equation, in which the Hill coefficient is a function of the partial pressure of oxygen (ligand concentration). The Hill equation with four parameters was shown to provide a reasonable approximation to an experimental curve of oxyhemoglobin dissociation. The parameters and criteria derived from them to assess oxygenation make it possible to characterize the maximum cooperativity point and the boundaries of minimum and maximum pO2 values at which values of the Hill coefficient do not fall outside the limits specified. Maximum cooperativity points obtained for several sets of experimental data are in a region of higher oxygen partial pressures relative to p50. The modified Hill equation can be used not only to analyze the oxygen-binding properties of hemoglobin, but also to solve a wide range of cooperativity-related problems, such as a kinetic analysis of enzymatic reactions, various dose–effect relationships, and many others. © 2022, Pleiades Publishing, Inc.